UNIT #3 LINEAR FUNCTIONS, EQUATIONS, AND THEIR ALGEBRA COMMON CORE ALGEBRA II
|
|
|
- Bartholomew Garrett
- 5 years ago
- Views:
Transcription
1 Name: Date: Part I Questions UNIT #3 LINEAR FUNCTIONS, EQUATIONS, AND THEIR ALGEBRA COMMON CORE ALGEBRA II. The distance that a person drives at a constant speed varies directly with the amount of time they have been driving. If, at a particular speed, a person drives 07 miles in two hours, then how far will they drive, at the same speed, in hours? () 75 miles (3) 9 miles () miles () 67 miles. Given the function () 8 (3) 5 () () 7 f x x x 7, what is its average rate of change over the interval 3 x? 3. Which of the following an equation for the line that is parallel to the line y x 9 and passes through the point, 5? () y x 9 (3) y x 7 () y x 5 () y x. Given the line pictured below, which of the following could be its equation? 3 () y x 8 () y x 7 (3) () y x 3 y x emathinstruction, RED HOOK, NY 57, 05
2 5. At what x-coordinate would a line whose equation is y x 3 intersect a perpendicular line whose y- intercept is 7? () x (3) x 5 () x () x 8 6. The speed of a car, in miles per hour, is a linear function of time, in minutes. Which of the following would be the units of the slope of this linear function? () miles (3) hours () miles/hour minute () miles minute 7. Which of the following is the equation of the inverse of the linear function y x? () y x (3) y x () y x () y x 8 8. Which of the following is the equation of the piecewise linear function shown below? () f x () f x (3) f x () f x x x 3x 5 x x x 3x x x 5 x 3x 3 x x x x x 9. The graph of a function and the graph of its inverse always have symmetry across () the x-axis (3) the line y x () the y-axis () the line y x emathinstruction, RED HOOK, NY 57, 05
3 0. Given the linear graph shown below answer the following questions. (a) Write the equation of the line in y mx b form. (b) Create a graph of this linear function's inverse on the same set of graph paper. (c) Determine the equation of the inverse.. Selected values of a linear function f x are given in the table below. Find the value of k. Explain how you found your answer. x 8 8 f x 33 9 k 58. Write an equation for the line passing through the points 5,5 and 0, 5. Show how you arrived at your answer. emathinstruction, RED HOOK, NY 57, 05
4 3. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a constant rate of 8 cars per minute. The parking lot started with 9 cars. (a) How many cars are still in the parking lot after 0 minutes? (b) Determine a formula for the number of cars, n, in the parking lot after m-minutes. (c) After 5 minutes, the rate at which the cars leave rises to 3 cars per minute. How many total minutes does it take for the parking lot to completely clear? Round to the nearest minute. Show your analysis.. A single pump is filling a storage container with water at a rate of 60 gallons per minute. After 30 minutes, an additional pump turns on and the container begins to fill at a total rate of 30 gallons per minute for an additional 30 minutes. The container already had,500 gallons of water when it began to be filled. (a) On the grid below, graph the amount of water the tank contains for the first 60 minutes. (b) Write a piecewise defined function for the volume, V, as a function of time, t, measured in minutes. Volume (gal) Time (min) emathinstruction, RED HOOK, NY 57, 05
5 5. Determine a piecewise equation for the function shown graphed below. x x 3 answer the following questions by using algebraic x x techniques. Explain your thinking and show your work. 6. For the piecewise function g x (a) What is the y-intercept of this function? (b) Determine the x-intercept(s) of this function. (c) Which has the greater average rate of change over the interval x 8, the function g x or the function f x x 7 (d) Provide evidence that this function is not one-to-one. Explain how your evidence supports that not one-to-one. g x is emathinstruction, RED HOOK, NY 57, 05
6 7. Solve the following system of equations algebraically. 3x 5y z 5 5x y 6z 33 x 0y 3z 0 8. One application of solving a system of three linear equations is, somewhat ironically, in algebraically finding the equation of a parabola in standard form. Given a parabola that passes through the points, 5,, 0, and, : (a) Substitute each point into the general form y ax bx c, to produce three equations with the three unknowns a, b, and c. The first is done for you. 5 a b c 5 6a b c (b) Solve this system for a, b, and c and state the equation of the parabola. emathinstruction, RED HOOK, NY 57, 05
Unit 3 Functions HW #1 Mrs. Dailey
HW#1 Name Algebra II Unit Functions HW #1 Mrs. Dailey 1) In each of the following, the variable pair given are proportional to one another. Find the missing value. (a) b = 8 when a = 16 b =? when a = 18
UNIT #9 ROOTS AND IRRATIONAL NUMBERS REVIEW QUESTIONS
Answer Key Name: Date: UNIT #9 ROOTS AND IRRATIONAL NUMBERS REVIEW QUESTIONS Part I Questions. Which of the following is the value of 6? () 6 () 4 () (4). The epression is equivalent to 6 6 6 6 () () 6
Graphing and Writing Linear Equations Review 3.1, 3.3, & 4.4. Name: Date: Period:
Graphing and Writing Linear Equations Review.1,., 4.1-4. & 4.4 Algebra I Name: Date: Period: Quest Topics Section.1 linear versus nonlinear rewrite linear equations in standard form: Ax By C find and use
1. Without the use of your calculator, evaluate each of the following quadratic functions for the specified input values. (c) ( )
Name: Date: QUADRATIC FUNCTION REVIEW FLUENCY Algebra II 1. Without the use of our calculator, evaluate each of the following quadratic functions for the specified input values. (a) g( x) g g ( 5) ( 3)
Algebra II Chapter 5
Algebra II Chapter 5 5.1 Quadratic Functions The graph of a quadratic function is a parabola, as shown at rig. Standard Form: f ( x) = ax2 + bx + c vertex: (x, y) = b 2a, f b 2a a < 0 graph opens down
IMAGINARY NUMBERS COMMON CORE ALGEBRA II
Name: Date: IMAGINARY NUMBERS COMMON CORE ALGEBRA II Recall that in the Real Number System, it is not possible to take the square root of a negative quantity because whenever a real number is squared it
Characteristics of Linear Functions (pp. 1 of 8)
Characteristics of Linear Functions (pp. 1 of 8) Algebra 2 Parent Function Table Linear Parent Function: x y y = Domain: Range: What patterns do you observe in the table and graph of the linear parent
2-7 Solving Quadratic Inequalities. ax 2 + bx + c > 0 (a 0)
Quadratic Inequalities In One Variable LOOKS LIKE a quadratic equation but Doesn t have an equal sign (=) Has an inequality sign (>,
Lesson 9 Exploring Graphs of Quadratic Functions
Exploring Graphs of Quadratic Functions Graph the following system of linear inequalities: { y > 1 2 x 5 3x + 2y 14 a What are three points that are solutions to the system of inequalities? b Is the point
Franklin Math Bowl 2010 Group Problem Solving Test Grade 6
Group Problem Solving Test Grade 6 1. Carrie lives 10 miles from work. She leaves in the morning before traffic is heavy and averages 30 miles per hour. When she goes home at the end of the day, traffic
Lesson 3: Working With Linear Relations Day 3 Unit 1 Linear Relations
(A) Lesson Context BIG PICTURE of this UNIT: CONTEXT of this LESSON: mastery with algebraic manipulations/calculations involving linear relations proficiency in working with graphic and numeric representations
Linear Functions, Equations, and Inequalities
CHAPTER Linear Functions, Equations, and Inequalities Inventory is the list of items that businesses stock in stores and warehouses to supply customers. Businesses in the United States keep about.5 trillion
Section 3.4 Writing the Equation of a Line
Chapter Linear Equations and Functions Section.4 Writing the Equation of a Line Writing Equations of Lines Critical to a thorough understanding of linear equations and functions is the ability to write
Roots are: Solving Quadratics. Graph: y = 2x 2 2 y = x 2 x 12 y = x 2 + 6x + 9 y = x 2 + 6x + 3. real, rational. real, rational. real, rational, equal
Solving Quadratics Graph: y = 2x 2 2 y = x 2 x 12 y = x 2 + 6x + 9 y = x 2 + 6x + 3 Roots are: real, rational real, rational real, rational, equal real, irrational 1 To find the roots algebraically, make
(a) Write down the value of q and of r. (2) Write down the equation of the axis of symmetry. (1) (c) Find the value of p. (3) (Total 6 marks)
1. Let f(x) = p(x q)(x r). Part of the graph of f is shown below. The graph passes through the points ( 2, 0), (0, 4) and (4, 0). (a) Write down the value of q and of r. (b) Write down the equation of
Tips for doing well on the final exam
Algebra I Final Exam 01 Study Guide Name Date Block The final exam for Algebra 1 will take place on May 1 and June 1. The following study guide will help you prepare for the exam. Tips for doing well on
x 1 2 i 1 5 2i 11 9x 9 3x 3 1 y 2 3y 4 y 2 1 Poudre School District s College Algebra Course Review
. Perform the indicated operations and simplify the result. Leave the answer in factored form. 9x 9 x a. b. 9x 9 x x. Solve: x 7x x 0. a. x., b. x 0,., x,0,. x.,0,. Find the quotient and the remainder
Chapter 3: Linear Functions & Their Algebra
Chapter 3: Linear Functions & Their Algebra Lesson 1: Direct Variation Lesson 2: Average Rate of Change Lesson 3: Forms of a Line Lesson 4: Linear Modeling Lesson 5: Inverse of Linear Functions Lesson
1. Graph (on graph paper) the following equations by creating a table and plotting points on a coordinate grid y = -2x 2 4x + 2 x y.
1. Graph (on graph paper) the following equations by creating a table and plotting points on a coordinate grid y = -2x 2 4x + 2 x y y = x 2 + 6x -3 x y domain= range= -4-3 -2-1 0 1 2 3 4 domain= range=
Booker T. Washington Summer Math Packet 2015 Completed by Thursday, August 20, 2015 Each student will need to print the packet from our website.
BTW Math Packet Advanced Math Name Booker T. Washington Summer Math Packet 2015 Completed by Thursday, August 20, 2015 Each student will need to print the packet from our website. Go to the BTW website
Skills Practice Skills Practice for Lesson 1.1
Skills Practice Skills Practice for Lesson. Name Date Tanks a Lot Introduction to Linear Functions Vocabulary Define each term in your own words.. function 2. linear function 3. independent variable 4.
Given the table of values, determine the equation
3.1 Properties of Quadratic Functions Recall: Standard Form f(x) = ax 2 + bx + c Factored Form f(x) = a(x r)(x s) Vertex Form f(x) = a(x h) 2 + k Given the table of values, determine the equation x y 1
average rate of change
average rate of change Module 2 : Investigation 5 MAT 170 Precalculus August 31, 2016 question 1 A car is driving away from a crosswalk. The distance d (in feet) of the car from the crosswalk t seconds
4.1 Solving Systems of Equations Graphically. Draw pictures to represent the possible number of solutions that a linear-quadratic system can have:
4.1 Solving Systems of Equations Graphically Linear- Quadratic A Linear-Quadratic System of Equations is a linear equation and a quadratic equation involving the same two variables. The solution(s) to
ALGEBRA 2 MIDTERM REVIEW. Simplify and evaluate the expression for the given value of the variable:
ALGEBRA 2 MIDTERM REVIEW Evaluating Expressions: 1.) -3 + 3(-2+ 5) 2 2.) ( -5 ) 2 3.) -5 2 Simplify and evaluate the expression for the given value of the variable: 4.) f(x) = x 2 + x 8; find f(-2) 5.)
Multiple Choice Review Problems
Multiple Choice Review Problems 1. (NC) Which graph best represents the position of a particle, st ( ), as a function of time, if the particle's velocity is negative and the particle's acceleration is
Reteach 2-3. Graphing Linear Functions. 22 Holt Algebra 2. Name Date Class
-3 Graphing Linear Functions Use intercepts to sketch the graph of the function 3x 6y 1. The x-intercept is where the graph crosses the x-axis. To find the x-intercept, set y 0 and solve for x. 3x 6y 1
SOLUTIONS FOR PROBLEMS 1-30
. Answer: 5 Evaluate x x + 9 for x SOLUTIONS FOR PROBLEMS - 0 When substituting x in x be sure to do the exponent before the multiplication by to get (). + 9 5 + When multiplying ( ) so that ( 7) ( ).
Chapter 0.B.3. [More than Just] Lines.
![Chapter 0.B.3. [More than Just] Lines.](/thumbs/84/90640295.jpg "Chapter 0.B.3. [More than Just] Lines.")
Chapter 0.B.3. [More than Just] Lines. Of course you've studied lines before, so why repeat it one more time? Haven't you seen this stuff about lines enough to skip this section? NO! But why? It is true
Name Date College Prep Mid-Term Review
Name Date Chapter 4 College Prep Mid-Term Review Define the following terms, and provide an example: Domain: Range: Slope Intercept form: Point Slope Form: Standard Form of a linear equation: Function:
12x y (4) 2x y (4) 5x y is the same as
Name: Unit #6 Review Quadratic Algebra Date: 1. When 6 is multiplied b the result is 0 1 () 9 1 () 9 1 () 1 0. When is multiplied b the result is 10 6 1 () 7 1 () 7 () 10 6. Written without negative eponents
6.3 Standard Form. Comparing Forms of Linear Equations. Explore. The slope is. Circle true or false. You can read the slope from the equation.
Name Class Date 6.3 Standard Form Essential Question: How can you write a linear equation in standard form given properties of the line including its slope and points on the line? Resource Locker Explore
Technology Math Skills Assessment. Practice Test 1
Technology Math Skills Assessment Practice Test . Which of the following is the best description of 3 5 x? a. Monomial b. Binomial c. Polynomial d. Both a and c. Create a table of values for the equation
0808ia. Integrated Algebra Regents Exam Which value of p is the solution of 5p 1 = 2p + 20? 19 1) ) 3 3) 3 4) 7
0808ia 1 Which value of p is the solution of 5p 1 = 2p + 20? 19 1) 7 19 2) ) 4) 7 5 Which value of x is in the solution set of the inequality 4x + 2 > 10? 1) 2 2) 2 ) 4) 4 2 The statement 2 + 0 = 2 is
Mathematics 10C. UNIT FIVE Linear Functions. Unit. Student Workbook. y 2. - y 1 x 2. rise. m = - x 1 run. y = mx + b. m = m original. 1 moriginal.
Mathematics 10C Student Workbook Unit m = y 2 - y 1 x 2 - x 1 run rise Lesson 1: Slope of a Line Approximate Completion Time: 2 Days y = mx + b Lesson 2: Slope-Intercept Form Approximate Completion Time:
Department of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections 3.1, 3.3, and 3.5
Department of Mathematics, University of Wisconsin-Madison Math 11 Worksheet Sections 3.1, 3.3, and 3.5 1. For f(x) = 5x + (a) Determine the slope and the y-intercept. f(x) = 5x + is of the form y = mx
Algebra 1 Hour Final Exam Review Days. Complete and On Time 5 points
Semester Final Exam Review Packet Name Algebra 1 Hour Final Exam Review Days Assigned on Assignment 6/1 Unit 5 and Unit 6, 1-39 Complete and On Time 5 points Complete and Late 4 points At Least 50% Complete.5
2007 AP Calculus AB Free-Response Questions Section II, Part A (45 minutes) # of questions: 3 A graphing calculator may be used for this part
2007 AP Calculus AB Free-Response Questions Section II, Part A (45 minutes) # of questions: 3 A graphing calculator may be used for this part 1. Let R be the region in the first and second quadrants bounded
Period: Date: Lesson 3B: Properties of Dilations and Equations of lines
Name: Period: Date: : Properties of Dilations and Equations of lines Learning Targets I can identify the properties of dilation mentioned as followed: dilation takes a line not passing through the center
Meet 4 Event A
Meet 4 Event A 2014-2015 NO CALCULATORS ALLOWED 1. y = Solve the equation for y. 40x 8y = 16 Simplify: 1,350 3. Which number comes next? 1, 4, 13, 40, 4. a = The summation has a value of 67.5. What is
Mathematics Diagnostic Examination Guidance
Mathematics Diagnostic Examination Guidance Examination Overview The mathematics examination will be 45 minutes long and will be worth 50 points. There will be three sections on the examination: Section
Chapter 3. Graphing Linear Equations and Functions
Chapter 3 Graphing Linear Equations and Functions 3.1 Plot Points in a Coordinate Plane Coordinate Plane- Two intersecting at a angle. x-axis the axis y-axis the axis The coordinate plane is divided into.
SY14-15 Algebra Exit Exam - PRACTICE Version
Student Name: Directions: Solve each problem. You have a total of 90 minutes. Choose the best answer and fill in your answer document accordingly. For questions requiring a written response, write your
2. To receive credit on any problem, you must show work that explains how you obtained your answer or you must explain how you obtained your answer.
Math 50, Fall 2011 Test 3 PRINT your name on the back of the test. Directions 1. Time limit: 1 hour 50 minutes. 2. To receive credit on any problem, you must show work that explains how you obtained your
a t of a car from 0 to 15 seconds are given in the table below. If the
Name Date Period Worksheet 8.1 Integral as Net Change Show all work. Calculator Permitted, but show all integral set ups. Multiple Choice 1. The graph at right shows the rate at which water is pumped from
Mini Lecture 2.1 Introduction to Functions
Mini Lecture.1 Introduction to Functions 1. Find the domain and range of a relation.. Determine whether a relation is a function. 3. Evaluate a function. 1. Find the domain and range of the relation. a.
1 y = Recitation Worksheet 1A. 1. Simplify the following: b. ( ) a. ( x ) Solve for y : 3. Plot these points in the xy plane:
Math 13 Recitation Worksheet 1A 1 Simplify the following: a ( ) 7 b ( ) 3 4 9 3 5 3 c 15 3 d 3 15 Solve for y : 8 y y 5= 6 3 3 Plot these points in the y plane: A ( 0,0 ) B ( 5,0 ) C ( 0, 4) D ( 3,5) 4
February 29 th March 4 th
February 29 th March 4 th Unit 7: Introduction to Functions Jump Start Table A: Bags of candy ( ) Cost ( ) 1 2 3 4 5 6 7 8 $1.25 $2.50 $3.75 $5.00 $6.25 $7.50 $8.75 $10.00 Table B: Number of seconds (
Final Exam Review Part 1 #5
Final Exam Review Part #5 Intermediate Algebra / MAT 35 Fall 206 Master (Prof. Fleischner) Student Name/ID:. Solve the compound inequality. 4x + 2 0 and 3x 4 < 8 Graph the solution on the number line.
MATH 126 TEST 1 SAMPLE
NAME: / 60 = % MATH 16 TEST 1 SAMPLE NOTE: The actual exam will only have 13 questions. The different parts of each question (part A, B, etc.) are variations. Know how to do all the variations on this
MA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations.
Focus Statement: Students will solve multi-step linear, quadratic, and compound equations and inequalities using the algebraic properties of the real number system. They will also graph linear and quadratic
6. The angle can be written equivalently as which of the following in the radian system?
Common Core Algebra 2 Review Session 3 NAME Date 1. Which of the following angles is coterminal with an angle of 130!, assuming both angles are drawn in the standard position? (1) (2) 230! (3) (4) 2. If
Equations With Two or More Variables
! Equations With Two or More Variables You have done a lot of work with relationships involving two related variables. However, many real-world relationships involve three or more variables. For example,
PERT Practice Test #2
Class: Date: PERT Practice Test #2 Multiple Choice Identify the choice that best completes the statement or answers the question. Ê 1. What is the quotient of 6y 6 9y 4 + 12y 2 ˆ Ê 3y 2 ˆ? a. 2y 4 + 3y
Name Date Class. 9. Simplify (8 + 1) 3 4. A 9 C A y = 1 2 x C y = x Solve d = 1 4. F 1 H 1 2 G 1 J 1 G 13
Name Date Class Select the best answer. 1. Add 4.2 + ( 6.8). A 11 C 2.6 B 2.6 D 11 2. Subtract ( 2). F 7 H 3 G 3 J 7 4. A new park opened on Monday with 4 visitors. The manager estimates that the number
Important Math 125 Definitions/Formulas/Properties
Exponent Rules (Chapter 3) Important Math 125 Definitions/Formulas/Properties Let m & n be integers and a & b real numbers. Product Property Quotient Property Power to a Power Product to a Power Quotient
Interpret Linear Graphs
Interpret Linear Graphs Objectives: -Interpret the meaning of the and intercepts, slope, and points on and off the line of a graph, in the contet of a real world situation. Common Core Standards: N.Q.1
Quadratic Functions and Equations
Quadratic Functions and Equations Quadratic Graphs and Their Properties Objective: To graph quadratic functions of the form y = ax 2 and y = ax 2 + c. Objectives I can identify a vertex. I can grapy y
6.3 Standard Form. Comparing Forms of Linear Equations. Explore. Circle true or false. The slope is. You can read the slope from the equation.
Name Class Date 6. Standard Form Essential Question: How can you write a linear equation in standard form given properties of the line including its slope and points on the line? Resource Locker Explore
(A) 47 ft/sec (B) 52 ft/sec (C) 120 ft/sec (D) 125 ft/sec (E) 141 ft/sec
Name Date Period Worksheet 6.1 Integral as Net Change Show all work. Calculator Permitted, but show all integral set ups. Multiple Choice 1. The graph at right shows the rate at which water is pumped from
6.1 Quadratic Expressions, Rectangles, and Squares. 1. What does the word quadratic refer to? 2. What is the general quadratic expression?
Advanced Algebra Chapter 6 - Note Taking Guidelines Complete each Now try problem in your notes and work the problem 6.1 Quadratic Expressions, Rectangles, and Squares 1. What does the word quadratic refer
4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account?
Name: Period: Date: Algebra 1 Common Semester 1 Final Review 1. How many surveyed do not like PS4 and do not like X-Box? 2. What percent of people surveyed like the X-Box, but not the PS4? 3. What is the
Solving Linear Quadratic Systems Algebraically Algebra 1
Name: Solving Linear Quadratic Systems Algebraically Algebra 1 Date: In this lesson we will begin to work with solving linear-quadratic systems of equations. Recall that to x, y that satisfy all equations
Mini-Lesson 9. Section 9.1: Relations and Functions. Definitions
9 Section 9.1: Relations and Functions A RELATION is any set of ordered pairs. Definitions A FUNCTION is a relation in which every input value is paired with exactly one output value. Table of Values One
AP Calculus BC Class Starter January 22, 2018
January 22, 2018 1. Given the function, find the following. (a) Evaluate f(4). (b) The definition of the derivative can be written two ways, as indicated below. Find both forms and evaluate the derivative
LHS Algebra Pre-Test
Your Name Teacher Block Grade (please circle): 9 10 11 12 Course level (please circle): Honors Level 1 Instructions LHS Algebra Pre-Test The purpose of this test is to see whether you know Algebra 1 well
LESSON #12 - FORMS OF A LINE COMMON CORE ALGEBRA II
LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS
Lesson 5: Solving Linear Systems Problem Solving Assignment solutions
Write inequalities to represent the following problem, and then solve to answer the question. 1. The Rent-A-Lemon Car Rental Company charges $60 a day to rent a car and an additional $0.40 per mile. Alex
Name: Class: Date: Unit 1. Thinking with Mathematical Models Investigation 2: Linear Models & Equations. Practice Problems
Unit 1 Thinking with Mathematical Models Investigation 2: Linear Models & Equations Practice Problems Directions: Please complete the necessary problems to earn a maximum of 7 points according to the chart
Study Guide and Review - Chapter 2. Choose the correct term to complete each sentence.
Choose the correct term to complete each sentence 1 A function is (discrete, one-to-one) if each element of the domain is paired to exactly one unique element of the range one-to-one 2 The (domain, range)
Study Guide and Intervention. The Quadratic Formula and the Discriminant. Quadratic Formula. Replace a with 1, b with -5, and c with -14.
4-6 Study Guide and Intervention Quadratic Formula The Quadratic Formula can be used to solve any quadratic equation once it is written in the form ax 2 + bx + c = 0. Quadratic Formula The solutions of
AP Calculus AB Information and Summer Assignment
AP Calculus AB Information and Summer Assignment General Information: Competency in Algebra and Trigonometry is absolutely essential. The calculator will not always be available for you to use. Knowing
1) The line has a slope of ) The line passes through (2, 11) and. 6) r(x) = x + 4. From memory match each equation with its graph.
Review Test 2 Math 1314 Name Write an equation of the line satisfying the given conditions. Write the answer in standard form. 1) The line has a slope of - 2 7 and contains the point (3, 1). Use the point-slope
AP CALCULUS AB SECTION I, Part A Time 55 Minutes Number of questions 28 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM
AP CALCULUS AB SECTION I, Part A Time 55 Minutes Number of questions 28 Time Began: Time Ended: A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM Directions: Solve each of the following problems, using
The data in this answer key is sample data only. Student answers will vary based on personal data.
Answer Key Road Rage The data in this answer key is sample data only. Student answers will vary based on personal data. This activity will explore how to predict where and when two cars will crash into
In #1 and 2, use inverse operations to solve each equation. 2.
In #1 and 2, use inverse operations to solve each equation. 1. 3x + 12 + 5x = 7 2. 1 (4x + 10) = x 5 2 3. Alex and Alyssa both have savings accounts. Alex has $515 and saves $23 per month. Alyssa has $725
MAT College Algebra - Gateway 2: Linear Equations and. Name: Date: B
Mathematics Department MAT 10 - College Algebra - Gateway : Linear Equations and Name: Date: 9919 B This exam covers material from Sections 1.1, 1.7,.1,.3, 3.1-3.3,.1, and.. The topics covered are function
Moving Straight Ahead - Unit Test Review Sheet
Name: Class: Date: ID: A Moving Straight Ahead - Unit Test Review Sheet Short Answer 1. Brent's Video Shack charges $1.50 to rent a video game for a night. Mr. Buck's Entertainments opens a new store in
Jakarta International School 8 th Grade AG1 Summative Assessment
Jakarta International School 8 th Grade AG1 Summative Assessment Unit 6: Quadratic Functions Name: Date: Grade: Standard Advanced Highly Advanced Unit 6 Learning Goals NP Green Blue Black Radicals and
MAT116 Final Review Session Chapter 1: Equations, Inequalities, and Modeling
MAT116 Final Review Session Chapter 1: Equations, Inequalities, and Modeling Solving Equations: Types of Equations in Chapter 1: Linear Absolute Value Quadratic Rational To SOLVE an equation means to find
3.4 Solving Quadratic Equations by Completing
.4. Solving Quadratic Equations by Completing the Square www.ck1.org.4 Solving Quadratic Equations by Completing the Square Learning objectives Complete the square of a quadratic expression. Solve quadratic
The coordinates of the vertex of the corresponding parabola are p, q. If a > 0, the parabola opens upward. If a < 0, the parabola opens downward.
Mathematics 10 Page 1 of 8 Quadratic Relations in Vertex Form The expression y ax p q defines a quadratic relation in form. The coordinates of the of the corresponding parabola are p, q. If a > 0, the
MATH 1710 College Algebra Final Exam Review
MATH 1710 College Algebra Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) There were 480 people at a play.
UNIT #2 LINEAR EXPRESSIONS, EQUATIONS, AND INEQUALITIES REVIEW QUESTIONS
Name: Date: Part I Questions UNIT # LINEAR EXPRESSIONS, EQUATIONS, AND INEQUALITIES REVIEW QUESTIONS 1. The value = 4 is a solution to all of the following equations ecept which? 1. (1) + 7 = 15 () 3 +
Equations. 2 3 x 1 4 = 2 3 (x 1 4 ) 4. Four times a number is two less than six times the same number minus ten. What is the number?
Semester Exam Review Packet *This packet is not necessarily comprehensive. In other words, this packet is not a promise in terms of level of difficulty or full scope of material. Equations 1. 9 2(n 1)
Section 1.6. Functions
Section 1.6 Functions Definitions Relation, Domain, Range, and Function The table describes a relationship between the variables x and y. This relationship is also described graphically. x y 3 2 4 1 5
In order to prepare for the final exam, you need to understand and be able to work problems involving the following topics:
MATH 080: Review for the Final Exam In order to prepare for the final exam, you need to understand and be able to work problems involving the following topics: I. Simplifying Expressions: Do you know how
4. Based on the table below, what is the joint relative frequency of the people surveyed who do not have a job and have a savings account?
Name: Period: Date: Algebra 1 Common Semester 1 Final Review Like PS4 1. How many surveyed do not like PS4 and do not like X-Box? 2. What percent of people surveyed like the X-Box, but not the PS4? 3.
Math 1 packet for Coordinate Geometry part 1. Reviewing the basics. The coordinate plane
Math 1 packet for Coordinate Geometry part 1 Reviewing the basics The coordinate plane The coordinate plane (also called the Cartesian plane named after French mathematician Rene Descartes, who formalized
4 The Cartesian Coordinate System- Pictures of Equations
4 The Cartesian Coordinate System- Pictures of Equations Concepts: The Cartesian Coordinate System Graphs of Equations in Two Variables x-intercepts and y-intercepts Distance in Two Dimensions and the
Topic 1 Test: Linear Relations and Functions. Name: Date: 1. When Antonio first joined the swim team, he swam the race in 8 minutes.
Name: Date: 1. When Antonio first joined the swim team, he swam the race in 8 minutes. But now he can swim the race in that time. Henry swims the course in 4 minutes. Let T be the difference between Henry
Archdiocese of Washington Catholic Schools Academic Standards Mathematics
ALGEBRA 1 Standard 1 Operations with Real Numbers Students simplify and compare expressions. They use rational exponents, and simplify square roots. A1.1.1 A1.1.2 A1.1.3 A1.1.4 A1.1.5 Compare real number
4. Solve for x: 5. Use the FOIL pattern to multiply (4x 2)(x + 3). 6. Simplify using exponent rules: (6x 3 )(2x) 3
SUMMER REVIEW FOR STUDENTS COMPLETING ALGEBRA I WEEK 1 1. Write the slope-intercept form of an equation of a. Write a definition of slope. 7 line with a slope of, and a y-intercept of 3. 11 3. You want
PART A CALCULATOR ACTIVE: Maximum Time: 35 Minutes
Algebra II: Chapter 5 Unit Test 2 Name: PART A CALCULATOR ACTIVE: Maximum Time: 35 Minutes Fill in the blanks: Put answers in the space provided. 1. The value of k that makes x 2 + kx + 25 4 a perfect
Algebra II Summer Review To earn credit: Be sure to show all work in the area provided.
Summer Review for Students Who Will Take Algebra II in 2016-2017 1 Algebra II Summer Review To earn credit: Be sure to show all work in the area provided. Evaluating and Simplifying Applying Order of Operations:
Table of contents. Jakayla Robbins & Beth Kelly (UK) Precalculus Notes Fall / 53
Table of contents The Cartesian Coordinate System - Pictures of Equations Your Personal Review Graphs of Equations with Two Variables Distance Equations of Circles Midpoints Quantifying the Steepness of
Solving a Linear-Quadratic System
CC-18 Solving LinearQuadratic Systems Objective Content Standards A.REI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables... A.REI.11 Explain why the x-coordinates
LESSON #11 - FORMS OF A LINE COMMON CORE ALGEBRA II
LESSON # - FORMS OF A LINE COMMON CORE ALGEBRA II Linear functions come in a variet of forms. The two shown below have been introduced in Common Core Algebra I and Common Core Geometr. TWO COMMON FORMS
Copyright 2015 Edmentum All rights reserved.
Copyright 2015 Edmentum All rights reserved. Linear Equations & Graphs 1. A line has a y intercept of and a slope of. Find the equation of the line. A. B. C. D. Evaluate Functions 2. The graph of the function
2. We measure real-world quantities in units like feet, gallons, students and miles/hour (miles per hour).
Examining Units A Solidify Understanding Task (Note: This task refers to the same set of variables as used in Serving Up Symbols) Units in Addition and Subtraction 1. Why can you add N e + N s + N b and